Point D is located between 35 and 40 so the possible answers are 36, 37, 38, and 39.
Point D is closer to 40 than 35, so we narrow down the option to 38 or 39.
39 would have been really close to 40, so Lara's statement is reasonable to say 38 is point D.
According to the information given, the parabolic equation which describes the path of the water from the hose to the top of her plants is:
- The coefficients are
.
<h3>What is the equation of a parabola?</h3>
The<em> equation of a parabola</em>, of vertex (h,k), is given by:
![y = a(x - h)^2 + k](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20h%29%5E2%20%2B%20k)
In this problem:
- The highest point the water reached was 8 feet, and it landed on the plants 10 feet from where she was standing, hence the vertex is (10,8), that is,
.
Then:
![y = a(x - 10)^2 + 8](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%2010%29%5E2%20%2B%208)
Both the nozzle of the hose and the top of the flowers were 4 feet above the ground, hence point (4,4), when
is part of the function, which is used to find a.
![y = a(x - 10)^2 + 8](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%2010%29%5E2%20%2B%208)
![4 = a(4 - 10)^2 + 8](https://tex.z-dn.net/?f=4%20%3D%20a%284%20-%2010%29%5E2%20%2B%208)
![36a = -4](https://tex.z-dn.net/?f=36a%20%3D%20-4)
![a = -\frac{4}{36}](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B4%7D%7B36%7D)
![a = -\frac{1}{9}](https://tex.z-dn.net/?f=a%20%3D%20-%5Cfrac%7B1%7D%7B9%7D)
Hence, the equation is:
![y = -\frac{1}{9}(x - 10)^2 + 8](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B9%7D%28x%20-%2010%29%5E2%20%2B%208)
You can learn more about equation of a parabola at brainly.com/question/26144898
Answer: C
Step-by-step explanation:
The inverse of a function maps the domain onto the range.
Answer:
4. 7 1/2 is Answer
Step-by-step explanation:
I hope it's helpful!
Answer:
There is a 90.32% probability that the cake was baked by Doug.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that Doug bakes the cake.
A 30% probability that Jeremy bakes the cake.
A 40% probability that a cake baked by Doug gets a thumbs up.
A 10% that a cake baked by Jeremy gets a thumbs up.
One cake was selected at random on 10/01/2014 and got a "thumbs up".
1. Find the probability that the cake was baked by Doug.
The probability that a baked cake gets a thumbs up is:
![P = 0.7*0.4 + 0.3*0.10 = 0.31](https://tex.z-dn.net/?f=P%20%3D%200.7%2A0.4%20%2B%200.3%2A0.10%20%3D%200.31)
Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:
![P = \frac{0.28}{0.31} = 0.9032](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B0.28%7D%7B0.31%7D%20%3D%200.9032)
There is a 90.32% probability that the cake was baked by Doug.